Pseudo-almost periodic $C^{0}$-solution for evolution inclusion with mixed nonlocal plus local initial conditions

This paper is devoted to the study of a class of evolution inclusion in Banach spaces with nonlocal plus local mixed initial conditions. Under some mild assumptions, a unique solvability result to the multivalued evolution problem is obtained via the arguments of fixed point principle and the theory of $C^0$-semigroup.

Keywords:

Almost periodic solution, Pseudo-almost periodic solution, Mixed nonlocal plus local initial conditions Existence and uniqueness, Evolution inclusion,

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